Finite Group Databasebeta

C2×#22549750 #30641142

order16256
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C27

Aliases

direct productC2×#22549750

Splittings

FittingC2×#95×C127 ⋊ C2
SylowC127 ⋊ C2×#385

Subgroups

subgroupG/H
centerC24C22×D127
commutatorC22×C127C23×C4
FrattiniC23C23×D127
FittingC2×#95×C127C2
socleC24×C127C23
prime radicalC24×D127C22
cosocleC23×C127C24
hypercenterC2×#95D127
hypocenterC127C2×#385
LCSG ▷ C22×C127 ▷ C127
UCSC1 ◁ C24 ◁ C2×#95

1232 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2576 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 6922);